Hyea Hyun Kim

Email: hyeahyun_AT_gmail.com, (or) hhkim_AT_khu.ac.kr
Voice: +82 31 201 3879 Fax: +82 31 204 8122
Address: Room 425, Department of Applied Mathematics,
Kyung Hee University, Yongin, 446-701, Korea.

Vitae

Hyea Hyun Kim is an associate professor at Department of Applied Mathematics in Kyung Hee University starting from 1 March 2012. She received her B.S. degree in Mathematics from POSTECH (Pohang University of Science and Technology), Pohang, Republic of Korea, in 1997 and M.S., and Ph. D. degrees in Applied Mathematics from KAIST (Korea Advanced Institute of Science and Technology), Daejeon, Republic of Korea, in 1999 and 2004, respectively. Her thesis advisor was professor Chang-Ock Lee and the title is "Preconditioners for FETI-DP formulations with mortar methods." This study is applied to elliptic problems with highly discontinuous coefficients in both two and three spatial dimensions, and the Stokes problem in two dimensions. From September 2004 through August 2006, except five months during the time, she was a postdoc at Courant Institute and working with professor Olof B. Widlund.

Research Interest

Her research interests include domain decomposition methods, discontinuous Galerkin methods, and mortar methods with their applications to computational fluid dynamics, multi-scale problems, and medical imaging.

Brief CV

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Publications (from 2011)

List of all publications

  1. "A BDDC algorithm for a class of staggered discontinuous Galerkin methods",with Eric T. Chung and Chak Shing Lee, To appear in Computers & Mathematics with Applications
  2. "A deluxe FETI-DP algorithm for a hybrid staggered discontinous Galerkin method for H(curl)-elliptic problems",with Eric T. Chung, To appear in Internat. J. Numer. Method Engrg.
  3. "A staggered discontinuous Galerkin method for the Stokes system",with Eric T. Chung and Chak Shing Lee, SIAM J Numer. Anal. (2013) Vol. 51, no. 6, pp. 3327--3350
  4. "Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method",with Eric T. Chung and Olof B. Widlund, SIAM J Numer. Anal. (2013) Vol. 51, no. 1, pp. 47--67
  5. "An Iterative Method for Problems with Multiscale Conductivity",with Atul S. Minhas and Eung Je Woo, Computational and mathematical methods in medicine (2012) pp. 1--12
  6. "A regularized correction method for elliptic problems with a singular force", JKMS.(2012) Vol. 49, no. 5, pp. 927--945
  7. "A two-level nonoverlapping Schwarz algorithm for the Stokes problem: Numerical study ",with Chang-Ock Lee , Comput. Methods Appl. Mech. Engrg. (2012) Vol. 223-224, pp. 153--160
  8. "A two-level nonoverlapping Schwarz algorithm for the Stokes problem without primal pressure unknowns ",with Chang-Ock Lee , Internat. J. Numer. Method Engrg. (2011) Vol. 88, no. 13, pp. 1390--1410
  9. "Three-dimensional MREIT Simulator of Static Bioelectromagnetism" ,with Atul S. Minhas, Zi Jun Meng, Young Tae Kim, Hyung Joong Kim, and Eung Je Woo, Biomed. Eng. Lett.(2011) Vol. 1, no. 2, pp. 129--136

Presentations (from 2011)

List of all presentations

  1. "A staggered discontinuous Galerkin method for the Stokes system and its fast solvers by domain decomposition methods" Center for Computational and Technology, LSU, USA. (October 15, 2013)
  2. "A staggered discontinuous Galerkin method for the Stokes system and its fast solvers by domain decomposition methods" Courant Institute, NYU, USA. (October 11, 2013)
  3. "A de luxe FETI-DP preconditioner for a staggered discontinuous Galerkin formulation of H(curl) in two dimensions" The 22nd International Conference on Domain Decomposition Methods, Universita della Svizzera Italiana, Lugano, Switzerland (September 16-20, 2013)
  4. "A staggered discontinuous Galerkin method for the Stokes system and its fast solvers solvers" University of Kansas, USA. (January 30, 2013)
  5. "Recent advances in domain decomposition methods for the Stokes problem" An invited talk to The 21th International Conference on Domain Decomposition Methods, INRIA-Rennes-Bretagnue-Atlantique (June 25-29, 2012)
  6. "Domain decomposition methods for the Stokes problem without primal pressure unknowns" The 7th International Congress on Industrial and Applied Mathematics, Vancouver, BC, Canada (July 18-22, 2011)
  7. "Domain decomposition algorithms for the Stokes problem without primal pressure components" The 20th International Conference on Domain Decomposition Methods, UCSD, San Diego, California, USA (February 17-21, 2011)

Preprints

  1. "FETI-DP preconditioners for a staggered discontinuous Galerkin formulation of the two-dimensional Stokes problem" with Eric T. Chung and Chak Shing Lee, Submitted.

Ongoing projects

  1. Mortar fomulation of a class of staggered discontinuous Galerkin methods
  2. Adaptive BDDC algorithm for multiscale problems
  3. Staggered discontinuous Galerkin methods for elasticity problems
  4. Macroscopic modelling of multiscale problems and its applications

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Last modified: March 2014.